Discussion Forum : True Discount
Question -
A dealer buys a car listed at Rs.200000 at successive discounts of 5% and 10%. If he sells the car for 179550, then his profit is
Answer: Option B
Answer: (b)Equivalent discount= $10 + 5 - {10 × 5}/100 = 14.5%$CP (for buyer)= 85.5% of Rs.200000= Rs.$({85.5 × 200000}/100)$ = Rs.171000SP = Rs.179550Gain = Rs.(179550 –171000) = Rs.8550Gain % = $8550/171000 × 100 =5%$Using Rule 3,Here, M.P. = 200000,S.P. is C.P. byer for $D_1 = 5%, D_2$ = 10%S.P.= M.P.$({100 - D_1}/100)({100 - D_2}/100)$= 200000$({100 - 5}/100)({100 - 10}/100)$= 20 × 95 × 90C.P. for buyer =171000S.P. = 179550Profit =S.P. - $\text"C.P."/\text"C.P" ×100%$= $8550/171000$ × 100 = 5%
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Answer: (b)Equivalent discount= $10 + 5 - {10 × 5}/100 = 14.5%$CP (for buyer)= 85.5% of Rs.200000= Rs.$({85.5 × 200000}/100)$ = Rs.171000SP = Rs.179550Gain = Rs.(179550 –171000) = Rs.8550Gain % = $8550/171000 × 100 =5%$Using Rule 3,Here, M.P. = 200000,S.P. is C.P. byer for $D_1 = 5%, D_2$ = 10%S.P.= M.P.$({100 - D_1}/100)({100 - D_2}/100)$= 200000$({100 - 5}/100)({100 - 10}/100)$= 20 × 95 × 90C.P. for buyer =171000S.P. = 179550Profit =S.P. - $\text"C.P."/\text"C.P" ×100%$= $8550/171000$ × 100 = 5%
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